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Finding the Fourth Proportional to 2,959.81, 4,054.88 and 2,849.02

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Solution

The fourth proportional to 2,959.81, 4,054.88 and 2,849.02 is: 3,903.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.81 : 4,054.88 = 2,849.02 : x
  2. Step 2: Convert to fraction form
    2,959.81/4,054.88 = 2,849.02/x
  3. Step 3: Cross multiply
    2,959.81x = 4,054.88 × 2,849.02
  4. Step 4: Simplify right side
    2,959.81x = 11,552,434.22
  5. Step 5: Solve for x
    x = 11,552,434.22/2,959.81
  6. Step 6: Final answer
    x = 3,903.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.